document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312755>Question 312755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a red marble? If a red marble is drawn the first time and then a second marble is drawn without replacement, what is the probability of drawing a yellow marble? Give solutions exactly in reduced fraction from separated by a comma?\r<BR>\n" );
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document.write( "I do not have a clue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223608 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5 yellow, Y<BR>\n" );
document.write( "16 green, G<BR>\n" );
document.write( "2 red, R<BR>\n" );
document.write( "Add them up to get 23 total marbles.<BR>\n" );
document.write( "P(event)=number of outcomes of that event/total outcomes.<BR>\n" );
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document.write( "1. So the chance of drawing a red marble is,<BR>\n" );
document.write( "P(R)=Red Marbles/Total Marbles=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F23 ALIGN=MIDDLE  ALT=\"2%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Once you chose a red marble and don't replace it, the marble count changes, you then have 1 red marble and 22 total marbles. The probability of picking a red then changes to <BR>\n" );
document.write( "P(R)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F22 ALIGN=MIDDLE  ALT=\"1%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The total probability of picking two reds in a row is the product of both probabilities.<BR>\n" );
document.write( "P(2 R)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F23%29%281%2F22%29=1%2F253 ALIGN=MIDDLE  ALT=\"%282%2F23%29%281%2F22%29=1%2F253\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "P(Y)=Yellow marbles/Total marbles=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F23 ALIGN=MIDDLE  ALT=\"5%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Just for fun, <BR>\n" );
document.write( "P(G)=Green marbles/Total marbles=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F23 ALIGN=MIDDLE  ALT=\"16%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Also note,<BR>\n" );
document.write( "P(Y)+P(R)+P(G)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F23%29%2B%282%2F23%29%2B%2816%2F23%29=23%2F23=1 ALIGN=MIDDLE  ALT=\"%285%2F23%29%2B%282%2F23%29%2B%2816%2F23%29=23%2F23=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which means that picking a marble gives you 100% chance of picking either a yellow one, a red one, or a green one, since those are the only choices available.  </SPAN>\n" );
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